{"id":"W118093555","doi":"10.1007/978-1-4419-9467-7_7","title":"Support Functions and Polar Sets","year":2011,"lang":"en","type":"book-chapter","venue":"CMS books in mathematics","topic":"Fuzzy and Soft Set Theory","field":"Decision Sciences","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia, Okanagan Campus; University of British Columbia","funders":"","keywords":"Intersection (aeronautics); Polar; Regular polygon; Representation (politics); Mathematics; Set (abstract data type); Polar coordinate system; Representation theorem; Combinatorics; Pure mathematics; Computer science; Geometry; Geography; Physics; Cartography; Political science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002702951,0.0007784491,0.0007534968,0.001511993,0.0006770794,0.003553851,0.0004932193,0.0006167364,0.02731232],"category_scores_gemma":[0.001135608,0.0003216309,0.0002968934,0.002120168,0.001508635,0.003152782,0.0008809436,0.002450445,0.01107357],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007205139,"about_ca_system_score_gemma":0.0004336672,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004727825,"about_ca_topic_score_gemma":0.0004680063,"domain_scores_codex":[0.9998291,0.00003245109,0.000007060096,0.00002580046,0.00009090558,0.00001471424],"domain_scores_gemma":[0.9998106,0.00008923881,0.00001049951,0.00002435899,0.00004983693,0.00001545924],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000008254704,0.000007355819,0.00002032125,0.00007474582,0.000002993993,0.00002113726,0.00008912012,0.0003901287,0.0003170562,0.9005774,0.03285553,0.06563594],"study_design_scores_gemma":[0.000003972077,0.000005931351,0.00008860823,0.00004808467,0.000002924522,0.00008978182,0.00006239882,0.0009889884,0.0002052118,0.8238594,0.1746391,0.000005679935],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.002495816,0.0225995,0.06987995,0.002491507,0.001302241,0.00002407673,0.0002605303,0.0002219535,0.9007245],"genre_scores_gemma":[0.1643633,0.04232977,0.04333071,0.001531348,0.003926219,0.0001849132,0.0009110452,0.0005629933,0.7428598],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02731232,"threshold_uncertainty_score":0.09136879,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1377319282806799,"score_gpt":0.3320322904372442,"score_spread":0.1943003621565643,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}